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If z(1+a)=b+i c and a^2+b^2+c^2=1, then ...

If `z(1+a)=b+i c and a^2+b^2+c^2=1,` then `[(1+i z)//(1-i z)=`
A. `(a+i b)/(1+c)`
B. `(b-i c)/(1+a)`
C. `(a+i c)/(1+b)`
D. none of these

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